Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension
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[1] Fatih Celiker,et al. A projection-based error analysis of HDG methods for Timoshenko beams , 2010, Math. Comput..
[2] Thierry Colin,et al. Long Wave Approximations for Water Waves , 2005 .
[3] A. Jeffrey,et al. Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation , 1972 .
[4] Bernardo Cockburn,et al. The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow , 2009, SIAM J. Numer. Anal..
[5] Hailiang Liu,et al. A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect , 2006, J. Comput. Phys..
[6] Peter Monk,et al. Error Analysis for a Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation , 2011, J. Sci. Comput..
[7] Chi-Wang Shu,et al. A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives , 2007, Math. Comput..
[8] Yulong Xing,et al. Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation , 2013, Math. Comput..
[9] J. Bona,et al. Model equations for long waves in nonlinear dispersive systems , 1972, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[10] Raytcho D. Lazarov,et al. Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems , 2009, SIAM J. Numer. Anal..
[11] L. R. Scott,et al. A Comparison of Solutions of Two Model Equations for Long Waves. , 1983 .
[12] Chi-Wang Shu,et al. A Local Discontinuous Galerkin Method for KdV Type Equations , 2002, SIAM J. Numer. Anal..
[13] Francisco-Javier Sayas,et al. Analysis of HDG methods for Stokes flow , 2011, Math. Comput..
[14] Yulong Xing,et al. Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation , 2014, J. Comput. Appl. Math..
[15] Francisco-Javier Sayas,et al. A PROJECTION-BASED ERROR ANALYSIS OF HDG METHODS , 2010 .
[16] Yan Xu,et al. Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations , 2012, SIAM J. Numer. Anal..
[17] Bernardo Cockburn,et al. High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics , 2011, J. Comput. Phys..
[18] Fatih Celiker,et al. Element-by-Element Post-Processing of Discontinuous Galerkin Methods for Timoshenko Beams , 2006, J. Sci. Comput..
[19] Fatih Celiker,et al. Superconvergence of the numerical traces of discontinuous Galerkin and Hybridized methods for convection-diffusion problems in one space dimension , 2007, Math. Comput..
[20] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[21] Ke Shi,et al. Conditions for superconvergence of HDG methods for Stokes flow , 2013, Math. Comput..
[22] Bernardo Cockburn,et al. An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations , 2011, J. Comput. Phys..
[23] Chi-Wang Shu,et al. Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations , 2007 .